Inverse Problems for Heat Convection System for Incompressible Viscoelastic Fluids Научная публикация
| Журнал |
Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962 |
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| Вых. Данные | Год: 2024, Том: 45, Номер: 4, Страницы: 1349-1365 Страниц : 17 DOI: 10.1134/s1995080224601152 | ||||
| Ключевые слова | inverse problem, heat convection, Kelvin–Voigt equations, non-Newtonian fluids, existence, uniqueness | ||||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Министерство науки и высшего образования Российской Федерации | FWGG-2021-0010 |
Реферат:
The paper deals the study some inverse source problems for heat convection system which consists of Kelvin–Voigt equations governing an incompressible viscoelastic non-Newtonian flows and a heat equation. The studying inverse problems consist of recovering a time depended intensity f(t) of a density of external forces and an intensity j(t) of a heat source, in addition to a velocity v, a pressure π, and a temperature θ. As an additional information two types of integral overdetermination conditions over the domain are considered. For nonlinear inverse problem, under suitable conditions on the data, the local in time existence and uniqueness of weak and strong solutions are established. Some special cases of original inverse problem also investigated which allow global unique solvability.
Библиографическая ссылка:
Antontsev S.N.
, Khompysh K.
Inverse Problems for Heat Convection System for Incompressible Viscoelastic Fluids
Lobachevskii Journal of Mathematics. 2024. V.45. N4. P.1349-1365. DOI: 10.1134/s1995080224601152 WOS Scopus РИНЦ OpenAlex
Inverse Problems for Heat Convection System for Incompressible Viscoelastic Fluids
Lobachevskii Journal of Mathematics. 2024. V.45. N4. P.1349-1365. DOI: 10.1134/s1995080224601152 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 15 янв. 2024 г. |
| Принята к публикации: | 11 мар. 2024 г. |
| Опубликована в печати: | 22 авг. 2024 г. |
Идентификаторы БД:
| Web of science: | WOS:001422583700001 |
| Scopus: | 2-s2.0-85201831074 |
| РИНЦ: | 68640833 |
| OpenAlex: | W4401810358 |
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Пока нет цитирований